WorldCat Identities

Tsukada, Haruo 1961-

Works: 4 works in 63 publications in 1 language and 3,508 library holdings
Roles: Author
Publication Timeline
Most widely held works by Haruo Tsukada
Vistas of special functions II by Kalyan Chakraborty( )

22 editions published between 2007 and 2010 in English and held by 1,634 WorldCat member libraries worldwide

"This book (Vista II), is a sequel to Vistas of Special Functions (World Scientific, 2007), in which the authors made a unification of several formulas scattered around the relevant literature under the guiding principle of viewing them as manifestations of the functional equations of associated zeta-functions. In Vista II, which maintains the spirit of the theory of special functions through zeta-functions, the authors base their theory on a theorem which gives some arithmetical Fourier series as intermediate modular relations - avatars of the functional equations. Vista II gives an organic and elucidating presentation of the situations where special functions can be effectively used. Vista II will provide the reader ample opportunity to find suitable formulas and the means to apply them to practical problems for actual research. It can even be used during tutorials for paper writing."--Jacket
Vistas of special functions by Shigeru Kanemitsu( )

15 editions published in 2007 in English and held by 1,492 WorldCat member libraries worldwide

This is a unique book for studying special functions through zeta-functions. Many important formulas of special functions scattered throughout the literature are located in their proper positions and readers get enlightened access to them in this book. The areas covered include: Bernoulli polynomials, the gamma function (the beta and the digamma function), the zeta-functions (the Hurwitz, the Lerch, and the Epstein zeta-function), Bessel functions, an introduction to Fourier analysis, finite Fourier series, Dirichlet L-functions, the rudiments of complex functions and summation formulas. The F
String path integral realization of vertex operator algebras by Haruo Tsukada( Book )

15 editions published between 1988 and 1991 in English and held by 283 WorldCat member libraries worldwide

Contributions to the theory of zeta-functions : the modular relation supremacy by Shigeru Kanemitsu( Book )

11 editions published between 2013 and 2015 in English and held by 99 WorldCat member libraries worldwide

This volume provides a systematic survey of almost all the equivalent assertions to the functional equations - zeta symmetry - which zeta-functions satisfy, thus streamlining previously published results on zeta-functions. The equivalent relations are given in the form of modular relations in Fox H-function series, which at present include all that have been considered as candidates for ingredients of a series. The results are presented in a clear and simple manner for readers to readily apply without much knowledge of zeta-functions. This volume aims to keep a record of the 150-year-old heritage starting from Riemann on zeta-functions, which are ubiquitous in all mathematical sciences, wherever there is a notion of the norm. It provides almost all possible equivalent relations to the zeta-functions without requiring a reader's deep knowledge on their definitions. This can be an ideal reference book for those studying zeta-functions
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Vistas of special functions II
Vistas of special functions
Alternative Names
Haruo Tsukada.

Tsukada 1961- Haruo

Tsukada, Haruo, 1961-

English (63)